8009430264 has 96 divisors (see below), whose sum is σ = 23705136000. Its totient is φ = 2422904640.

The previous prime is 8009430229. The next prime is 8009430283. The reversal of 8009430264 is 4620349008.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465967 + ... + 482849.

It is an arithmetic number, because the mean of its divisors is an integer number (246928500).

Almost surely, 2^8009430264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8009430264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11852568000).

8009430264 is an abundant number, since it is smaller than the sum of its proper divisors (15695705736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8009430264 is a wasteful number, since it uses less digits than its factorization.

8009430264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17505 (or 17498 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 8009430264 is about 89495.4203521052. The cubic root of 8009430264 is about 2000.7855467511.

The spelling of 8009430264 in words is "eight billion, nine million, four hundred thirty thousand, two hundred sixty-four".